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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 55 · 40 sums
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The method (Common denominator, then signs): Standard form: move any minus sign to the numerator and divide top and bottom by their HCF. Compare: same denominator, then the bigger numerator is bigger (−2/6 > −5/6). Add or subtract: common denominator, then add or subtract the numerators with the rules of signs. Additive inverse of a/b is −a/b; reciprocal of a/b is b/a (same sign).

NameDateTime takenScore ___ / 40
  1. 1.What is (−1/7) + 5/7? (a) −4/7 (b) −6/7 (c) 2/7 (d) 4/7
  2. 2.What is (−5/6) + 8/9? (a) −31/18 (b) 1/18 (c) −1/18 (d) 1/5
  3. 3.Which is smaller: −5/9 or 2/5? (a) 2/5 (b) −5/9
  4. 4.What is (−8/9) − 4/7? (a) 92/63 (b) −20/63 (c) −92/63 (d) −3/4
  5. 5.Is −3/(−7) positive or negative? (a) Negative (b) Positive
  6. 6.Which is bigger: −2/5 or 4/7? (a) −2/5 (b) 4/7
  7. 7.Write −3/21 in standard form (lowest terms, positive denominator). (a) −3/21 (b) 1/7 (c) −7/1 (d) −1/7
  8. 8.What is (−3/4) + 1/5? (a) −2/9 (b) −11/20 (c) 11/20 (d) −19/20
  9. 9.Which is bigger: −1/8 or 2/5? (a) 2/5 (b) −1/8
  10. 10.Write −2/12 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −6/1 (c) −2/12 (d) −1/6
  11. 11.What is 1/5 + (−2/9)? (a) −1/14 (b) 1/45 (c) −1/45 (d) 19/45
  12. 12.Write −42/48 in standard form (lowest terms, positive denominator). (a) −8/7 (b) −7/8 (c) 7/8 (d) −42/48
  13. 13.Which is smaller: −3/7 or −5/9? (a) −5/9 (b) −3/7
  14. 14.Which is smaller: −6/7 or −7/8? (a) −6/7 (b) −7/8
  15. 15.Which is smaller: −5/7 or −1/3? (a) −1/3 (b) −5/7
  16. 16.Which is smaller: −3/7 or −1/3? (a) −3/7 (b) −1/3
  17. 17.Which is bigger: −2/5 or −2/9? (a) −2/9 (b) −2/5
  18. 18.Is 4/(−8) positive or negative? (a) Negative (b) Positive
  19. 19.What is 5/9 − (−1/8)? (a) 31/72 (b) 49/72 (c) −49/72 (d) 6/17
  20. 20.What is (−2/3) − 1/6? (a) −1/3 (b) −1/2 (c) 5/6 (d) −5/6
  21. 21.What is the reciprocal (multiplicative inverse) of −4/9? (a) 9/4 (b) 4/9 (c) −4/9 (d) −9/4
  22. 22.What is the additive inverse of −3/7? (a) 7/3 (b) −3/7 (c) 3/7 (d) −7/3
  23. 23.Is −3/(−4) positive or negative? (a) Positive (b) Negative
  24. 24.What is 1/8 + (−7/9)? (a) 65/72 (b) −47/72 (c) 47/72 (d) −6/17
  25. 25.Is −3/2 positive or negative? (a) Negative (b) Positive
  26. 26.Is 1/(−2) positive or negative? (a) Negative (b) Positive
  27. 27.What is the reciprocal (multiplicative inverse) of −2/3? (a) 2/3 (b) −3/2 (c) 3/2 (d) −2/3
  28. 28.What is the reciprocal (multiplicative inverse) of −1/6? (a) 1/6 (b) 6 (c) −6 (d) −1/6
  29. 29.What is 3/7 − (−1/8)? (a) 4/15 (b) 17/56 (c) 31/56 (d) −31/56
  30. 30.Which is bigger: −3/8 or −5/9? (a) −5/9 (b) −3/8
  31. 31.What is 1/9 + (−1/5)? (a) 14/45 (b) −4/45 (c) 0 (d) 4/45
  32. 32.What is (−4/9) + (−4/9)? (a) 0 (b) −4/9 (c) 8/9 (d) −8/9
  33. 33.Write 35/(−45) in standard form (lowest terms, positive denominator). (a) 7/9 (b) −35/45 (c) −7/9 (d) −9/7
  34. 34.Which is smaller: −7/9 or 2/5? (a) 2/5 (b) −7/9
  35. 35.What is (−1/8) − 1/2? (a) 3/8 (b) 5/8 (c) −1/5 (d) −5/8
  36. 36.Is 3/(−6) positive or negative? (a) Positive (b) Negative
  37. 37.What is the additive inverse of −2/9? (a) 9/2 (b) −9/2 (c) −2/9 (d) 2/9
  38. 38.Write 24/(−27) in standard form (lowest terms, positive denominator). (a) −9/8 (b) −8/9 (c) 8/9 (d) −24/27
  39. 39.Write −4/10 in standard form (lowest terms, positive denominator). (a) −2/5 (b) −4/10 (c) −5/2 (d) 2/5
  40. 40.Write 20/(−25) in standard form (lowest terms, positive denominator). (a) 4/5 (b) −20/25 (c) −5/4 (d) −4/5

Answer key

  1. 4/7
  2. 1/18
  3. −5/9
  4. −92/63
  5. Positive
  6. 4/7
  7. −1/7
  8. −11/20
  9. 2/5
  10. −1/6
  11. −1/45
  12. −7/8
  13. −5/9
  14. −7/8
  15. −5/7
  16. −3/7
  17. −2/9
  18. Negative
  19. 49/72
  20. −5/6
  21. −9/4
  22. 3/7
  23. Positive
  24. −47/72
  25. Negative
  26. Negative
  27. −3/2
  28. −6
  29. 31/56
  30. −3/8
  31. −4/45
  32. −8/9
  33. −7/9
  34. −7/9
  35. −5/8
  36. Negative
  37. 2/9
  38. −8/9
  39. −2/5
  40. −4/5

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